Treatments for undefined log ratios in matching analyses

IF 1.4 3区 心理学 Q4 BEHAVIORAL SCIENCES
Pier-Olivier Caron
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引用次数: 0

Abstract

A challenge in carrying out matching analyses is to deal with undefined log ratios. If any reinforcer or response rate equals zero, the logarithm of the ratio is undefined: data are unsuitable for analyses. There have been some tentative solutions, but they had not been thoroughly investigated. The purpose of this article is to assess the adequacy of five treatments: omit undefined ratios, use full information maximum likelihood, replace undefined ratios by the mean divided by 100, replace them by a constant 1/10, and add the constant .50 to ratios. Based on simulations, the treatments are compared on their estimations of variance accounted for, sensitivity, and bias. The results show that full information maximum likelihood and omiting undefined ratios had the best overall performance, with negligibly biased and more accurate estimates than mean divided by 100, constant 1/10, and constant .50. The study suggests that mean divided by 100, constant 1/10, and constant .50 should be avoided and recommends full information maximum likelihood to deal with undefined log ratios in matching analyses.

Abstract Image

在匹配分析中处理未定义的对数比率。
进行匹配分析的一个难题是如何处理未定义的对数比率。如果任何强化剂或反应率等于零,比率的对数就是未定义的:数据不适合进行分析。目前已有一些初步的解决方案,但还没有进行深入研究。本文旨在评估五种处理方法的适当性:省略未定义的比率、使用全信息最大似然法、用平均值除以 100 代替未定义的比率、用常数 1/10 代替未定义的比率,以及在比率上添加常数 .50。根据模拟结果,比较了各种处理方法对所占方差、灵敏度和偏差的估计。结果表明,全信息最大似然法和省略未定义比率的总体性能最佳,与除以 100 的均值、常数 1/10 和常数 .50 相比,其估计值的偏差可忽略不计,且更为准确。研究建议应避免使用均值除以 100、常数 1/10 和常数 0.50,并建议在匹配分析中使用全信息最大似然法处理未定义的对数比率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
3.90
自引率
14.80%
发文量
83
审稿时长
>12 weeks
期刊介绍: Journal of the Experimental Analysis of Behavior is primarily for the original publication of experiments relevant to the behavior of individual organisms.
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